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%I #4 Aug 12 2018 19:37:16
%S 1,2,2,4,8,4,8,28,28,8,16,97,118,97,16,32,338,508,508,338,32,64,1178,
%T 2130,3062,2130,1178,64,128,4105,8971,17703,17703,8971,4105,128,256,
%U 14305,37700,103633,133136,103633,37700,14305,256,512,49850,158613
%N T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
%C Table starts
%C ...1.....2......4........8........16..........32...........64...........128
%C ...2.....8.....28.......97.......338........1178.........4105.........14305
%C ...4....28....118......508......2130........8971........37700........158613
%C ...8....97....508.....3062.....17703......103633.......603215.......3512154
%C ..16...338...2130....17703....133136.....1033121......7960400......61442813
%C ..32..1178...8971...103633...1033121....10674882....109443619....1125607630
%C ..64..4105..37700...603215...7960400...109443619...1493271874...20443576030
%C .128.14305.158613..3512154..61442813..1125607630..20443576030..372575745070
%C .256.49850.667178.20446744.473867122.11570430384.279709797313.6788774522485
%H R. H. Hardin, <a href="/A318016/b318016.txt">Table of n, a(n) for n = 1..312</a>
%F Empirical for column k:
%F k=1: a(n) = 2*a(n-1)
%F k=2: a(n) = 4*a(n-1) -2*a(n-2) +a(n-3) -a(n-4)
%F k=3: [order 11] for n>14
%F k=4: [order 26] for n>29
%F k=5: [order 61] for n>65
%e Some solutions for n=5 k=4
%e ..0..0..0..1. .0..0..0..0. .0..1..0..1. .0..0..0..0. .0..1..0..1
%e ..0..1..1..0. .0..0..0..1. .1..0..1..1. .0..0..0..0. .1..0..0..0
%e ..1..1..0..1. .0..0..0..1. .0..0..1..1. .1..1..1..1. .0..0..1..1
%e ..0..0..0..1. .0..0..0..1. .0..0..0..0. .1..1..1..1. .1..1..1..1
%e ..0..0..0..0. .1..0..0..0. .1..0..1..1. .0..0..0..0. .1..1..1..1
%Y Column 1 is A000079(n-1).
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_, Aug 12 2018
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